[FEATURE] Add status bar to Desktop App

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

The Desktop App only shows the current model name in the bottom-right corner. Users have no visibility into context window usage or rate limit consumption (5h / 7d limits), which makes it hard to manage usage across sessions — especially on Pro/Max plan where limits reset on a rolling basis.

Proposed Solution

Honor the existing statusLine configuration in settings.json within the Desktop App. The CLI already supports this:

{
"statusLine": {
"type": "command",
"command": "bash ~/.claude/statusline-command.sh"
}
}

The Desktop App should render the command output as a persistent bar at the bottom of the window, identical to CLI behavior. No new API surface needed — just extend the existing setting to the Desktop App.

Alternative Solutions

Currently using the CLI version in a terminal window alongside the Desktop App to monitor status. This is a workaround, not a solution.

Priority

Medium - Would be very helpful

Feature Category

Configuration and settings

Use Case Example

1. I'm on Claude Max plan and working across multiple long sessions.
2. I want to know how much of my 5-hour rate limit I've used before starting a heavy task.
3. With statusLine support in the Desktop App, my custom script would show ctx usage and limit reset times at a glance — just like in the terminal.

Additional Context

The CLI statusLine feature is already documented and working. This is purely a feature parity request for the Desktop App. The setting key statusLine exists in settings.json and is silently ignored by the Desktop App today.